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Embedded Gaussian Unitary Ensembles: Results from Wigner-Racah Algebra

2014; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-319-04567-2_11

1616-6361

V. K. B. Kota,

Quantum Chromodynamics and Particle Interactions

In this chapter, the GUE version of embedded ensembles (EGUE), both for fermion and boson systems, are considered and results from the Wigner-Racah algebra of the Lie algebras defining the embedding are presented. In particular, given is the general formulation for the lower order moments of the one- and two-point functions for the ensembles with U(Ω)⊗SU(r) embedding and random two-body Hamiltonians with SU(r) symmetry. Results from this formulation are presented with examples for fermion systems with r=1, 2 and 4 and similarly, for boson systems with r=1, 2 and 3. In addition, results for the general spinless EGUE(k) and BEGUE(k) are also presented.